Question

Mark (✓) against the correct answer
Two supplementary angles are in the ratio 3 : 2. The smaller angle measures

(a) 108°
(b) 81°
(c) 72°
(d) none of these

Answer 1

$$\begin{gathered} \left(c\right)72° \\ \begin{array}{l}\text{Supplementary angles:}\\ 3x+2x=180\\ \text{=>}x=\frac{180}{5}\\ \end{array} \\ \Rightarrow x=36° \\ \begin{array}{l}\text{Smaller angle =}(2\times 36°)\\ \text{=72}{°}^{}\end{array} \end{gathered}$$